Let's solve the problem step by step.

Problem a:

We need to find the coordinates of the points of intersection for the following equations: $x^2 + y^2 = 4$ $x = 2$

Step 1: Substitute $x = 2$ into the equation $x^2 + y^2 = 4$.

$2^2 + y^2 = 4$ $4 + y^2 = 4$ $y^2 = 0$ $y = 0$

Step 2: Write down the coordinates.

The only point of intersection is when $x = 2$ and $y = 0$, so the coordinates are $(2, 0)$.

Would you like to go over the details of this solution or explore the other parts of the question?

Here are 5 related questions:

1. How do you solve a system of equations involving a circle and a line?
2. What is the geometric interpretation of solving $x^2 + y^2 = r^2$ with $x = a$?
3. How can you find the intersection points of a parabola and a line?
4. How would the solution change if the radius of the circle was larger?
5. What if the line was not vertical but had a different slope?

Tip: When dealing with intersection problems, always start by substituting one equation into the other to reduce the number of variables.